About Fuzzy Differential Equations
Author(s) -
B. Y. Thanoon,
Asmaa Z. M. Alkatib
Publication year - 2014
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2014.163753
Subject(s) - mathematics , fuzzy logic , fuzzy number , differential equation , initial value problem , mathematical analysis , fuzzy set , computer science , artificial intelligence
This paper deals with the fuzzy initial value problem and how to solve a linear fuzzy differential equation of first order when the initial condition is a triangle fuzzy number. This problem is then developed to the case when the initial condition is a trapezoidal fuzzy number. The paper includes also the issue of the representation of a system of linear fuzzy differential equations, a more general system of linear fuzzy differential equations is then proposed and the solution of this system is also given. An illustrative examples are given in order to consolidate the raised ideals.
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